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Finding the Fourth Proportional to 8,925.90, 13,397.07 and 4,546.50

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Solution

The fourth proportional to 8,925.90, 13,397.07 and 4,546.50 is: 6,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,925.90 : 13,397.07 = 4,546.50 : x
  2. Step 2: Convert to fraction form
    8,925.90/13,397.07 = 4,546.50/x
  3. Step 3: Cross multiply
    8,925.90x = 13,397.07 × 4,546.50
  4. Step 4: Simplify right side
    8,925.90x = 60,909,778.76
  5. Step 5: Solve for x
    x = 60,909,778.76/8,925.90
  6. Step 6: Final answer
    x = 6,823.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.